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Finding the Fourth Proportional to 87,327.78, 120,512.28 and 47,583.78

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Solution

The fourth proportional to 87,327.78, 120,512.28 and 47,583.78 is: 65,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,327.78 : 120,512.28 = 47,583.78 : x
  2. Step 2: Convert to fraction form
    87,327.78/120,512.28 = 47,583.78/x
  3. Step 3: Cross multiply
    87,327.78x = 120,512.28 × 47,583.78
  4. Step 4: Simplify right side
    87,327.78x = 5,734,429,818.82
  5. Step 5: Solve for x
    x = 5,734,429,818.82/87,327.78
  6. Step 6: Final answer
    x = 65,665.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.